Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities

Vladimir Gol'dshtein, Yaroslav Anatol evich Kopylov

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We carry out calculations of Orlicz cohomology for some basic Riemannian manifolds (the real line, the hyperbolic plane, the ball). Relationship between Orlicz cohomology and Poincaré-Sobolev-Orlicztype inequalities is discussed.

Original languageEnglish
Pages (from-to)1079-1090
Number of pages12
JournalSiberian Electronic Mathematical Reports
Volume16
DOIs
StatePublished - 1 Jan 2019

Keywords

  • Differential form
  • Orlicz cohomology
  • Poincaré-Sobolev- Orlicz inequality
  • Torsion

ASJC Scopus subject areas

  • Mathematics (all)

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